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85024752 = 24317293593
BaseRepresentation
bin1010001000101…
…01111111110000
312220222201000220
411010111333300
5133231243002
612234213040
72051461401
oct504257760
9186881026
1085024752
1143aa339a
1224584180
13147cc507
14b4139a8
1576e77bc
hex5115ff0

85024752 has 80 divisors (see below), whose sum is σ = 240654240. Its totient is φ = 25747456.

The previous prime is 85024733. The next prime is 85024759. The reversal of 85024752 is 25742058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85024759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21868 + ... + 25460.

It is an arithmetic number, because the mean of its divisors is an integer number (3008178).

Almost surely, 285024752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85024752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120327120).

85024752 is an abundant number, since it is smaller than the sum of its proper divisors (155629488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85024752 is a wasteful number, since it uses less digits than its factorization.

85024752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 85024752 is about 9220.8867252559. The cubic root of 85024752 is about 439.7256416338.

The spelling of 85024752 in words is "eighty-five million, twenty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1972 2958 3593 3944 5916 7186 7888 10779 11832 14372 21558 23664 28744 43116 57488 61081 86232 104197 122162 172464 183243 208394 244324 312591 366486 416788 488648 625182 732972 833576 977296 1250364 1465944 1667152 1771349 2500728 2931888 3542698 5001456 5314047 7085396 10628094 14170792 21256188 28341584 42512376 85024752